Question
$$2 \cdot \frac{x}{5}x = 6$$
Answer
$$ \begin{matrix}x_1 = -\sqrt{ 15 } & x_2 = \sqrt{ 15 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2 \cdot \frac{x}{5}x &= 6&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]52 \cdot \frac{x}{5}x &= 5\cdot6&& \text{cancel out the denominators} \\[1 em]2x^2 &= 30&& \text{move all terms to the left hand side } \\[1 em]2x^2-30 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-30 = 0 $ is a quadratic equation.
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